1402121228508 has 1728 divisors, whose sum is σ = 5481136926720. Its totient is φ = 292108861440.

The previous prime is 1402121228441. The next prime is 1402121228509. The reversal of 1402121228508 is 8058221212041.

It is a happy number.

1402121228508 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 121 + 2 + 28 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402121228509) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6017687560 + ... + 6017687792.

It is an arithmetic number, because the mean of its divisors is an integer number (3171954240).

Almost surely, 2^{1402121228508} is an apocalyptic number.

1402121228508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402121228508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740568463360).

1402121228508 is an abundant number, since it is smaller than the sum of its proper divisors (4079015698212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1402121228508 is a wasteful number, since it uses less digits than its factorization.

1402121228508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 1402121228508 its sum of digits (36), we get a square (1402121228544 = 1184112²).

The spelling of 1402121228508 in words is "one trillion, four hundred two billion, one hundred twenty-one million, two hundred twenty-eight thousand, five hundred eight".